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The Poisson Channel With Varying Dark Current Known to the Transmitter

Abstract : This paper studies the continuous-time Poisson channel whose dark current is random and may change for every τ-second time interval, where the actual values of the dark current are known to the transmitter as channel-state information (CSI). In the limit where τ tends to zero, the capacity gain provided by both causal and noncausal CSI is shown to vanish linearly with τ , so CSI at the transmitter provides almost no capacity improvement. The paper also considers a related problem of the state-dependent very noisy channel. In the very noisy limit, the capacity gain provided by noncausal CSI is shown to be the same as that provided by causal CSI.
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https://hal.archives-ouvertes.fr/hal-02395661
Contributor : Ligong Wang Connect in order to contact the contributor
Submitted on : Tuesday, August 31, 2021 - 10:00:28 AM
Last modification on : Tuesday, August 31, 2021 - 10:24:05 AM
Long-term archiving on: : Wednesday, December 1, 2021 - 7:05:28 PM

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Ligong Wang. The Poisson Channel With Varying Dark Current Known to the Transmitter. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2019, 65 (8), pp.4966-4978. ⟨10.1109/TIT.2019.2911474⟩. ⟨hal-02395661⟩

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